8 citations · 10 across the 5 of their papers we have counts for
6 papers
-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and -adic interpolation
Jorge Flórez
We establish integrality and congruence properties for the Eisenstein-Kronecker cocycle of Bergeron, Charollois and García introduced in [arXiv:2107.01992v2 [math.NT]]. As a conseq…
The distribution of the generalized greatest common divisor and visibility of lattice points
Jorge Flórez, Cihan Karabulut, Elkin Quintero Vanegas
For a fixed , Goins et al. \cite{Harris} defined the concept of -visibility for a lattice point in which…
Eisenstein series whose Fourier coefficients are zeta functions of binary Hermitian forms
Jorge Flórez, Cihan Karabulut, An Hoa Vu
In this paper we investigate a result of Ueno on the modularity of generating series associated to the zeta functions of binary Hermitian forms previously studied by Elstrodt et al…
Explicit reciprocity laws for higher local fields
Jorge Flórez
Using the previously constructed explicit reciprocity laws for the generalized Kummer pairing of an arbitrary (one-dimensional) formal group, in this article a special consideratio…
The norm residue symbol for higher local fields
Jorge Flórez
Since the development of higher local class field theory, several explicit reciprocity laws have been constructed. In particular, there are formulas describing the higher-dimension…
Eisenstein cocycles for GL(n) and values of L-functions in imaginary quadratic extensions
Jorge Flórez, Cihan Karabulut, Tian An Wong
We generalize Sczech's Eisenstein cocycle for over totally real extensions of to finite extensions of imaginary quadratic fields. By evaluating the co…